| Autor: |
A. Nicolet, F. Drouart, G. Renversez, C. Geuzaine |
| Předmět: |
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| Zdroj: |
COMPEL; Aug2007, Vol. 26 Issue 4, p1105-1113, 9p |
| Abstrakt: |
Purpose - This paper concerns the study of non-linear effects in optical fibres with a core made of a Kerr type medium. The aim is to propose an algorithm to find spatial solitons, i.e. solutions with a harmonic behaviour in time and along the fibre but with a field distribution in the cross-section corresponding to a self-trapped propagation of the electromagnetic field. Design/methodology/approach - The field is supposed to be harmonic in time and along the direction of invariance of the fibre but inhomogeneous in the cross-section. This modifies the refractive index profile of the fibre (a step-index one in this study). A scalar model of the fibre, together with the finite element method (that is well suited to deal with inhomogeneous media), is used and a new iterative algorithm is proposed to obtain the non-linear solutions. An adaptive meshing is necessary to guarantee the accuracy of the model. Findings - The new algorithm converges to self-coherent solutions that are different from those obtained via a fixed power algorithm. The equivalents both of a fundamental mode and of a second order mode are studied. Originality/value - The approach acknowledges the findings of the previously known spatial solitons (with a slight modification of the algorithm) together with a new family of solutions. It opens a new field of investigation to understand this whole family of non-linear solutions as it shows that only a small part of them was known up to now. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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